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SIZIF [17.4K]
3 years ago
12

I need help, can someone help me plz?

Mathematics
1 answer:
9966 [12]3 years ago
3 0
I’m so sorry but do you have a better picture i can’t see it
The only questions that I can see is 8 and 9
8: B
9: C
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Which triangle is similar to ΔABC if sin(A) = 1/4, cos(A) = √15/4, and tan(A) = 1/√15?
Anit [1.1K]

Answer:

D is the similar triangle

Step-by-step explanation:

A quick solution to this problem is using the hypotenuse.

You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)

Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.

To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.

Now check for both cos and tan

Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4  CHECKS OUT

Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5   CHECKS OUT

Since everything checks out, then answer D is truly correct.

7 0
3 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
Elenna [48]
The answer is (c) if you need more answers I got you
8 0
3 years ago
Read 2 more answers
Teresa has $451 in a personal bank account,and then withdraws $10 per week.Andrew has $10 in a personal bank account,and then de
Wittaler [7]

Given:

Teresa has $451 in a personal bank account,and then withdraws $10 per week.

Andrew has $10 in a personal bank account,and then deposits $53 each week.

To find:

After how many weeks will they have the same amount of money in the bank.

Solution:

Let x be the number of weeks after which they have the same amount.

Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:

\text{Teresa's account}=451-10x

Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:

\text{Andrew's account}=10+53x

They have equal amount after x weeks. So,

451-10x=10+53x

Isolate variable terms.

451-10=10x+53x

441=63x

Divide both sides by 63.

\dfrac{441}{63}=x

7=x

Therefore, they will have the same amount of money in the bank after 7 weeks.

5 0
3 years ago
Write three hundred and ninety six million two hundred and forty two thousand and two as a numeral
MaRussiya [10]

Answer:

Below.

Step-by-step explanation:

396,242,002

7 0
3 years ago
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Anna and Carla are 9 miles apart on a path when they start moving toward each other. Anna runs at a constant speed of 4 miles pe
Sergio [31]

Answer:

The answer is 3 miles.

4+2=6 , 6-9=3

4 0
3 years ago
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